Math Problem Statement
Which correlation represents the strongest relationship? O a. +.68 O b. -.43 O c. +.37 O d. -.02
Solution
The correlation that represents the strongest relationship is:
a. +.68
Explanation:
- Correlation values range from -1 to +1.
- The closer the value is to -1 or +1, the stronger the relationship.
- Positive correlations (e.g., +.68) indicate a direct relationship, while negative correlations (e.g., -.43) indicate an inverse relationship.
- A correlation of +.68 is stronger than the others listed.
Would you like more details on interpreting correlations or how they apply to data?
Here are 5 questions to expand on this:
- What does a correlation value of +1 indicate?
- How does a negative correlation differ from a positive one?
- In what fields are correlations typically used to interpret relationships between variables?
- What does a correlation of 0 mean?
- How can you determine if a correlation is statistically significant?
Tip: Always remember that correlation does not imply causation.
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Formulas
Correlation coefficient formula: r = Σ((x - x̄)(y - ȳ)) / √(Σ(x - x̄)² Σ(y - ȳ)²)
Theorems
Properties of correlation coefficients
Strength and direction of linear relationships
Suitable Grade Level
Grades 10-12
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